11515516561010 has 64 divisors (see below), whose sum is σ = 25876046709504. Its totient is φ = 3584608454400.

The previous prime is 11515516561007. The next prime is 11515516561013. The reversal of 11515516561010 is 1016561551511.

It is an interprime number because it is at equal distance from previous prime (11515516561007) and next prime (11515516561013).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (11515516561013) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9078281 + ... + 10268700.

It is an arithmetic number, because the mean of its divisors is an integer number (404313229836).

Almost surely, 2^{11515516561010} is an apocalyptic number.

11515516561010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11515516561010 is an abundant number, since it is smaller than the sum of its proper divisors (14360530148494).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11515516561010 is a wasteful number, since it uses less digits than its factorization.

11515516561010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19347779.

The product of its (nonzero) digits is 22500, while the sum is 38.

The spelling of 11515516561010 in words is "eleven trillion, five hundred fifteen billion, five hundred sixteen million, five hundred sixty-one thousand, ten".